Some time ago I was interested in turning sphericons, but I found no interest here. I won't go into details about them as there is much on the net and also articles in the magazine "Woodturning". I don't read any other turning forums so this may be old stuff. If not, Wikipedia for bicones is a good start.
I wonder if some of you have made them and would comment. Especially pertinent since our interest in Charlie's innovative uses of motion. For me the interesting thing about sphericons is the surprising way they roll, especially several together. The math eludes me, but the turning and cutting and gluing not entirely and I managed to make some simple ones.
Just turn a bicone cut it apex to apex, rotate the halves and glue them together. If I'm confusing you or got it wrong, from memory there's the net or maybe someone will jump in and correct me. Hope some of you have or will give it a try and share your experience.
Turn to Safety, Arch Fortiter